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Katarina [22]
3 years ago
9

Suppose a rectangular garden plot has a length that can be expressed as x+2 feet and a width expressed as x+7 feet. Write a poly

nomial expression to represent the area of the garden? Write a polynomial expression to represent the perimeter of the garden?
Mathematics
1 answer:
mafiozo [28]3 years ago
6 0

Answer:

Area = x^2 + 9x + 14

Perimeter = 4x + 18

Step-by-step explanation:

Given:

Length of rectangular garden = (x + 2) ft

Width = (x + 7) ft

Required:

a. Polynomial expression of the area of the garden

b. Polynomial expression of the perimeter of the garden

SOLUTION:

Area of the rectangular garden = length × width

Area = (x + 2)(x + 7)

Expand using the distributive property of multiplication

Area = x(x + 7) +2(x + 7)

Area = x^2 + 7x + 2x + 14

Area = x^2 + 9x + 14

Perimeter = 2(length) + 2(width)

Perimeter = 2(x + 2) + 2(x + 7)

Perimeter = 2x + 4 + 2x + 14

Collect like terms

Perimeter = 2x + 2x + 4 + 14

Perimeter = 4x + 18

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Answer:

11/12

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2 years ago
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3 years ago
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notsponge [240]

Answer:

x≤ -7 or x≥ -4  

Step-by-step explanation:

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3 years ago
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Mashutka [201]

Answer:

9 + \frac{n}{3} - 6 = 7

Step-by-step explanation:

Given

9 + \frac{n}{3} - 6

Required

Evaluate when n = 12

Substitute 12 for n in 9 + \frac{n}{3} - 6

9 + \frac{n}{3} - 6 = 9 + \frac{12}{3} - 6

Simplify the fraction

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9 + \frac{n}{3} - 6 = 7

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</span>
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